427100800 has 192 divisors, whose sum is σ = 1259740800. Its totient is φ = 139898880.

The previous prime is 427100783. The next prime is 427100831. The reversal of 427100800 is 8001724.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514786 + ... + 515614.

It is an arithmetic number, because the mean of its divisors is an integer number (6561150).

Almost surely, 2^427100800 is an apocalyptic number.

427100800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629870400).

427100800 is an abundant number, since it is smaller than the sum of its proper divisors (832640000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427100800 is a wasteful number, since it uses less digits than its factorization.

427100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 427100800 is about 20666.4172027955. The cubic root of 427100800 is about 753.0840709953.

The spelling of 427100800 in words is "four hundred twenty-seven million, one hundred thousand, eight hundred".